Question

A owned an, article worth Rs. $10,000$. He sold it to $B$ at a profit of $10\%$ based on the worth of the article. $B$ sold the article back to $A$ at a loss of $10\%$. How much did $A$ make in these transactions?

• A. Rs. $1800$
• B. Rs. $1560$
• C. Rs. $1320$
• D. Rs. $1100$

Answer 1

The correct option is D Rs. $1100$

C.P of the article for $A$ $=$ Rs. $10,000$

Profit $=10\%$

Selling price of the article by $A$ to $B$ $=$ Rs. $\frac{110}{100}\times 10000=$ Rs. $11000$

C.P of the article for $B$ $=$ Rs. $11000$

Loss $=10\%$
Selling price of the article by $B$ to $A$ $=$ Rs. $\frac{90}{100}\times 11000=$ Rs. $9900$
$\therefore$ Profit earned by $A$ $=$ Rs. $(11000-9000)=$ Rs. $1100$.